substitution method 4m-3n=0 and m+2n=3
From the 2nd: m+2n=3
m = 3 - 2n
sub into the first:
4m - 3n = 0
4(3 - 2n) - 3n = 0
now you have only n's,
carry on.
Continue
Will they not collect like terms
Dullards
I don't understand
Esther
4m-3n=0
To solve the system of equations using the substitution method, follow these steps:
Step 1: Solve one equation for one variable in terms of the other variable.
From the second equation, solve for m:
m + 2n = 3
m = 3 - 2n
Step 2: Substitute the expression found in Step 1 into the other equation.
Now substitute the value of m in the first equation:
4m - 3n = 0
4(3 - 2n) - 3n = 0
Step 3: Simplify and solve the equation.
Distribute the 4:
12 - 8n - 3n = 0
Combine like terms:
12 - 11n = 0
Move the constant to the other side:
-11n = -12
Divide by -11:
n = -12 / -11
n = 12/11
Step 4: Substitute the value found in Step 3 back into one of the original equations to solve for the other variable.
Using the second equation:
m + 2n = 3
m + 2(12/11) = 3
m + 24/11 = 3
m = 3 - 24/11
m = (33 - 24) / 11
m = 9 / 11
Therefore, the solution to the system of equations is m = 9/11 and n = 12/11.